The vdW interaction between the CNT parts of the DNA nanotweezers is described via the Lennard-Jones (LJ) approximation. This approach is widely used in calculating disperssive interactions between graphitic nanostructures because of its relative simplicity and satisfactory results in determining their equilibrium configurations [1]}. The LJ potential is essentially a pairwise apprximation, and for extended systems, one typically perfroms integration over the volumes of the interacting objects. For CNTs, the integration is over the surfaces of hollow cylinders with radii corresponding to the radii of the nanotubes. The LJ-vdW potential per unit length for two parallel CNTs with radii \(R_1\)  and \(R_2\)  is given by [2]}
<FIGURE>\(V_{vdW}=\sigma ^2\int \int \left(-\frac{A}{\rho ^6}+\frac{B}{\rho ^{12}}\right)dS_{1}dS_{2},\) 
